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In this paper, we introduce new iterative schemes by using the modified Ishikawa iteration for two hybrid multivalued mappings in a Hilbert space. We then obtain weak convergence theorem under suitable conditions. We use CQ and shrinking projection methods with Ishikawa iteration for obtaining strong convergence theorems. Furthermore, we give examples and numerical results for supporting our main results.
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참고문헌 (27)
참고문헌 신청
R. P. Agarwal / 2009 / Fixed point theory for Lipschitzian-type mappings with applications, Topological Fixed Point Theory and Its Applications / Springer :6
H. H. Bauschke / 2004 / Projection and proximal point methods: convergence results and counterexamples / Nonlinear Anal. 56(5):715~738
F. E. Browder / 1965 / Nonexpansive nonlinear operators in a Banach space / Proc. Nat. Acad. Sci. USA 54:1041~1044
A. Buangern / 2017 / Iterative methods for a generalized equilibrium problem and a nonexpansive multi-valued mapping / Vietnam J. Math. 45(3):477~492
P. Cholamjiak / 2016 / Fixed point theorems for hybrid multivalued mappings in Hilbert spaces / J. Fixed Point Theory Appl. 18(3):673~688
H. H. Bauschke / 2004 / Projection and proximal point methods: convergence results and counterexamples / Nonlinear Anal. 56(5):715~738
F. E. Browder / 1965 / Nonexpansive nonlinear operators in a Banach space / Proc. Nat. Acad. Sci. USA 54:1041~1044
A. Buangern / 2017 / Iterative methods for a generalized equilibrium problem and a nonexpansive multi-valued mapping / Vietnam J. Math. 45(3):477~492
P. Cholamjiak / 2016 / Fixed point theorems for hybrid multivalued mappings in Hilbert spaces / J. Fixed Point Theory Appl. 18(3):673~688
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